12111220201200 has 120 divisors (see below), whose sum is σ = 40134078092400. Its totient is φ = 3118291169280.

The previous prime is 12111220201181. The next prime is 12111220201217. The reversal of 12111220201200 is 210202211121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111220201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173976985 + ... + 174046584.

It is an arithmetic number, because the mean of its divisors is an integer number (334450650770).

Almost surely, 2^{12111220201200} is an apocalyptic number.

12111220201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111220201200 is an abundant number, since it is smaller than the sum of its proper divisors (28022857891200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111220201200 is a wasteful number, since it uses less digits than its factorization.

12111220201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348023619 (or 348023608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12111220201200 its reverse (210202211121), we get a palindrome (12321422412321).

The spelling of 12111220201200 in words is "twelve trillion, one hundred eleven billion, two hundred twenty million, two hundred one thousand, two hundred".